GCD of 740, 456, 23, 351 Calculator

Given Input numbers are 740, 456, 23, 351

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 740, 456, 23, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 456, 23, 351 is 1.

Therefore, GCD of numbers 740, 456, 23, 351 is 1

Given Input Data is 740, 456, 23, 351

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 23 is 23

Prime Factorization of 351 is 3 x 3 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(740, 456) = 84360

GCD(740, 456) = ( 740 x 456 ) / 84360

GCD(740, 456) = 337440 / 84360

GCD(740, 456) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 23

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 23) = 92

GCD(4, 23) = ( 4 x 23 ) / 92

GCD(4, 23) = 92 / 92

GCD(4, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 740, 456, 23, 351 is 1

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• GCD of 985, 877, 28, 940
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• GCD of 822, 999, 23, 659

1. What is the GCD of 740, 456, 23, 351?

GCD of 740, 456, 23, 351 is 1

2. Where do I get the detailed procedure to find GCD of 740, 456, 23, 351?

You can find a detailed procedure to find GCD of 740, 456, 23, 351 on our page.

3. How to find GCD of 740, 456, 23, 351 on a calculator?

You can find the GCD of 740, 456, 23, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.